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Finding the Fourth Proportional to 328,777.60, 493,322.40 and 227,731.03

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Solution

The fourth proportional to 328,777.60, 493,322.40 and 227,731.03 is: 341,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,777.60 : 493,322.40 = 227,731.03 : x
  2. Step 2: Convert to fraction form
    328,777.60/493,322.40 = 227,731.03/x
  3. Step 3: Cross multiply
    328,777.60x = 493,322.40 × 227,731.03
  4. Step 4: Simplify right side
    328,777.60x = 112,344,818,274.07
  5. Step 5: Solve for x
    x = 112,344,818,274.07/328,777.60
  6. Step 6: Final answer
    x = 341,704.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.